Find the unknown length y in the pair of similar triangles.

Find The Unknown Length Y In The Pair Of Similar Triangles.

Answers

Answer 1

Step-by-step explanation:

If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.

So,

[tex] \frac{30}{8} = \frac{20}{y} [/tex]

Cross-multiplying the denominators gives,

[tex]30y = 160[/tex]

[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]


Related Questions

State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?

Answers

Answer:

Step-by-step explanation:

C

The lines are have one solution and are consistent and Independent.

What is Consistent and Inconsistent?

Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.

Given:

y = 0.5x

2y = x + 4

Now solving the Above Equation

2(0.5x) = x+ 4

x = x+ 4

0 = 4

and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]

Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]

Then, the lines are have one solution and are consistent and Independent.

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The area of a square garden is A= 121ft2 how long is each side of the garden?

Answers

it would be about 3.5 but it’s not exact. the exact measurement would be 3.49285 hope this helped!

Answer:

11ft.

Step-by-step explanation:

121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.

Como se ecribe 8 de 10
en decimale​

Answers

8/10 es 0.8 en decimale :)

Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?

Answers

Answer:

4:1

Step-by-step explanation:

round to 2 decimal 0.314

Answers

Answer:0.300

Step-by-step explanation:Just took something familiar

Answer:

0.31

Step-by-step explanation:

1) Between which two integers does the square root of 48 lie? *


Answers

Answer:

6 and 7

Step-by-step explanation:

I think you mean 'the sq rt of 48 lies between what 2 integers.'

The answer is 6 and 7.

What is the area of a section of pavement that is 20 ft wide and 50 yd​ long?

Answers

Answer:

3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2)    (yd^2)

Step-by-step explanation:

The answer is 3000 feet.

1 point
If one person can stand on a 4 square feet floor area, how many persons
can stand on 64 square foot floor area? Which proportion accurately solves
this problem? *

A) 1/4= X/64
B) 1/4= 64/x
C)1/64= 4/x
D)4/64= x/1

Answers

The answer is A 1/4=X/64

Answer:

A) 1/4=X/64

Step-by-step explanation:

It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.

Hope that helps!

Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5

Answers

Answer:15/28

Step-by-step explanation:

3/7 divided 4/5

3/7x5/4=15/28

Answer: 3/7 x 5/4

Step-by-step explanation: 3/7 ➗ 4/5 = 15/28

3/7 x 5/4 = 15/28

Please help with this

Answers

Answer:

x = 14.75

Step-by-step explanation:

I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.

Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return

Answers

Answer: C D B

Step-by-step explanation:

JUST TOOK THE TEST ON ENDEGENUITYYYYY

The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

What are ratios?

Ratios are fractional values representing relations between two quantities.

What are proportions?

When two ratios are equal, they are said to be in proportion.

What is a scale factor?

The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.

How to solve the given question?

In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.

We analyze each statement:

Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.

∴ The correct statements for using proportions to solve for missing measures are:

Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.

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100 POINTS!!! ASAP-- Pls show work too TY

Answers

Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!

Find all excluded values for the expression. That is, find all values of x for which the expression is undefined.

x+6/x² - 6x-27

Answers

Answer:

The values of x for the expression is undefined is -3 or 9

Step-by-step explanation:

Given function,

[tex]f(x) = \frac{X +\ 6}{X^2 - 6X-27}[/tex]

The values of x for which the expression is undefined is obtained when the denominator is equal to zero, from the expression it is given by;

x² - 6x - 27 = 0

Factorize the equation

x² + 3x - 9x - 27 = 0

x (x + 3) -9(x + 3) = 0

(x + 3)(x - 9) = 0

x = -3   or  x = 9

Therefore, the values of x for the expression is undefined is -3 or 9

What conclusions can you draw from the distances that you recorded in question 7

Answers

Answer:

If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line  is a perpendicular bisector of the connecting line segments.

Step-by-step explanation:

I need help please helpp

Answers

Answer:

I believe it's B.Let me know if it's right,if it not,i'm so sorry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The other statements incorrectly describe the transformations.  C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.

write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.

Answers

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

  (iii),(iv),(v)-False

B(i),(ii),(iii) -True

  (iv),(v)-False

C   (i),(ii) -False

     (iii),(iv),(v)-True

D  (i),(ii),(iii) -False

    (iv),(v)-True

Answer:

The  correct option is  C

Step-by-step explanation:

    i is false because several lines can pass through a single point

    ii is false because only one line can pass through two distinct points

    iii is true because you can extend a line from both points (start and  end points )

      iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

       v is true because from Euclid's First Axiom , if a=  c and c =  d  the  a =  d

     

     

3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:

Answers

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

midpoint of (5, 8) (-1, -4)

Answers

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

-3/7(x-52) given x=10

Answers

Answer:

18

Step-by-step explanation:

-3/7 * ( x-52)

Let x = 10

-3/7 ( 10-52)

-3/7 * -42

-3 * -42/7

-3 * -6

18

A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.

Answers

Answer:

The first siding should be located at 30 miles

The time for the freight to arrive at the siding is 40 minutes

Step-by-step explanation:

From the given information:

Let [tex]T_f[/tex] represent the time for the freight train

Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location

Let Y represents the location where the location of the siding of the track needed to take place.

Thus, for freight time:

[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]

The siding location is:

[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]

[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]

To determine Y:

[tex]T_P -T_f = 0.1 --- (3)[/tex]

replacing the value of [tex]T_f[/tex]  and [tex]T_P[/tex] in the above equation (3), we have:

[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]

collecting like terms, we have:

[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]

[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]

[tex]\dfrac{-25Y}{3150} =-0.233[/tex]

- 25Y = -0.233 × 3150

- 25Y = -733.95

Y = -733.95/-25

Y = 29.36 miles

Y [tex]\simeq[/tex] 30 miles to the nearest whole number

Thus, the first siding should be located at 30 miles

To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).

Then, we have:

[tex]T_f = \dfrac{Y}{45}[/tex]

[tex]T_f = \dfrac{30}{45}[/tex]

[tex]T_f =0.667\ hr[/tex]

[tex]T_f =(0.667 \times 60 )minutes[/tex]

[tex]T_f =40.2 \ minutes[/tex]

[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]

Thus, the time for the freight to arrive at the siding is 40 minutes

Which linear equation has no solution?

Answers

5x+12=5x-7 is the answer
because 0=-19 has no solution.

Use the slope formula to find the missing coordinate.
m= 3, P(3, 2) and Q(8,_)
O-1
1
05

Answers

Let the missing value = x

Slope is the change in y over the change in x:

3 = (x-2)/ (8-3)

3 = (x-2) / 5

Multiply both sides by 5:

15 = x-2

Add 2 to both sides:

X = 17

The missing coordinate is 17

Find 5.5x when x=7.5

Answers

Answer:

41.25

Step-by-step explanation:

if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5

=41.25

Answer:

41.25

Step-by-step explanation:

5.5(7.5) Stubstitue the varuable for the value

41.25 Multiply

Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?

Answers

Explanation: 216 quarters/8 quarters per bottle = 27

Look at the photo HELPPPP I NEED IT RNN!!!

Answers

Answer:

-150

Step-by-step explanation:

F(x)=x2-2x find f(x2)

Answers

answer

0

Step-by-step explanation:

you plug in the 2 into every xbox value

Answer:

f(x)= x²-2x

For finding f(x²), replace x with x²

f(x²)= (x²)²-2x²

= x⁴-2x²

Hope it helps :-)

which unit represents 0.01 liters

Answers

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

The answer is 1 centimeter

I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS

Answers

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

Find the straight time pay if you earn $7.90 per hour and worked 37 hours.

Answers

Answer: $292.30

Step-by-step explanation:

Other Questions
What denotes the back surface of the body or nearer to the back An ecologist is studying Dunaliella salina a single celled algae in a local pond. The pond is located near a construction site and the ecologist wants to know what affect, if any, the construction site is having on the pond, as there has been a steady decline in the Dunaliella salina population. In order to complete their study the ecologist would like to examine the organelles inside Dunaliella salina. If they would like to examine the inner structure of the chloroplasts of an already dead Dunaliella salina, what microscope would be best suited for this task? *A.)dissecting microscopeB.)compound microscopeC.)scanning electron microscopeD.)transmission electron microscope Seth, Pete, Cara, and Jen form Kingfisher Corporation with the following consideration:Consideration Transferred Basis to Transferor Fair Market Value Number of Shares IssuedFrom SethInventory $30,000 $96,000 30*From PeteEquipment ($30,000 of depreciation taken by Pete in prior years)45,000 99,000 30**From CaraProprietary process 15,000 90,000 30From JenCash 30,000 30,000 10*Seth receives $6,000 in cash in addition to the 30 shares.**Pete receives $9,000 in cash in addition to the 30 shares.a. Seths recognized gain or loss. Identify the nature of any such gain or loss.b. Seths basis in the Kingfisher Corporation stock.c. Kingfisher Corporations basis in the inventory.d. Petes recognized gain or loss. Identify the nature of any such gain or loss.e. Petes basis in the Kingfisher Corporation stock.f. Kingfisher Corporations basis in the equipment.g. Caras recognized gain or loss.h. Caras basis in the Kingfisher Corporation stock.i. Kingfisher Corporations basis in the proprietary process.j. Jens recognized gain or loss.k. Jens basis in the Kingfisher stock. What is 4x+3>15 inequalities what can we do if we work together?std 5 poem 2 team work PQ= 2x RQ=3x+1What is the value of x what is y over 3 (y/3) = 12 Given g(x) = 3x+3, find g(6) why does Antonio hate shylock? Pam received $125 for graduation and spend $8 of it a week. How many weeks can she do thisand still have more than $20 left? How much copper is in 3.79 g of copper g After preparing a bank reconciliation, a journal entry would be required for which of the following: Group of answer choices None is correct. A deposit in transit A deposit made by a company with a similar name and credited to your account. Interest earned on the company's checking account. A check for $48 given to a supplier but not yet recorded by the company's bank. Can someone help me plssssss ;w;The magnitude of an earthquake depending on the energy it produces can be modeled using the equation M = 0.6666 log x 3.2. Complete the sentences about the model.The curve representing the relationship includes the point_______ .The growth factor is________ .An earthquake with an energy level of has a magnitude of ________ . solving literal equations HELP!!b g=x-c, for x On January 2, 20X1, Meister Company issues $200,000 of 6% bonds. Interest of $6,000 is payable semi-annually on June 30 and December 31. The bonds mature in 5 years. The market yield for bonds of similar risk and maturity is 7%. Utilizing the time value of money tables in your book, calculate the issue price of the bonds (round the result to whole dollars). Evaluate the expression for c = 1.4. Write your answer as a decimal or whole number. 21c2 = Which was not a result of Bacons rebellion write about how the september 11th attack continues to affect even those who have no memory of that day three examples of reflection The head of a pin is 1.5 10-3 m in diameter. If 1.136 107 atoms of oxygen can fit across the head of a pin, what is the atomic radius of oxygen?